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Finding the Third Proportional to 109,717 and 236,084

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Solution

The third proportional to 109,717 and 236,084 is: 507,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,717 : 236,084 = 236,084 : x
  2. Step 2: Convert to fraction form
    109,717/236,084 = 236,084/x
  3. Step 3: Cross multiply
    109,717x = 236,084 × 236,084
  4. Step 4: Simplify right side
    109,717x = 55,735,655,056
  5. Step 5: Solve for x
    x = 55,735,655,056/109,717
  6. Step 6: Final answer
    x = 507,994.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.